In a random sample of five people, the mean driving distance to work was 20.7 miles and the standard deviation was 4.4 miles. Assume the population is normally distributed and use the t-distribution to find the margin of error and construct a 99% confidence interval for the population mean u. Interpret the results. Identify the margin of error. 50.7 (Round to one decimal place as needed.) Construct a 99% confidence interval for the population mean. (30 71.4 (Round to one decimal place as needed.) Interpret the results. Select the corect choice below and fill in the answer box to complete your choice. (Type an integer or a decimal. Do not round.) OA With % confidence, it can be said that the population mean driving distance to work (in miles) is between the intervals endpoints. OB. It can be said that % of the population has a driving distance to work (in miles) that is between the intervals endpoints. Oc. % of all random samples of five people from the population will have a mean driving distance to work (in miles) that is between the interval's endpoints. OD. With % confidence, it can be said that most driving distances to work (in miles) in the population are between the intervals endpoints

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In a random sample of five people, the mean driving distance to work was 20.7 miles and the standard deviation was 4.4 miles. Assume the population is normally distributed and use the t-distribution to find the margin of error and construct a 99% confidence interval for the population mean u. Interpret the results.
Identify the margin of error.
50.7
(Round to one decimal place as needed.)
Construct a 99% confidence interval for the population mean.
3071.4
(Round to one decimal place as needed.)
Interpret the results. Select the correct choice below and fill in the answer box to complete your choice.
(Type an integer or a decimal. Do not round.)
O A. With
% confidence, it can be said that the population mean driving distance to work (in miles) is between the interval's endpoints.
B. It can be said that % of the population has a driving distance to work (in miles) that is between the interval's endpoints.
% of all random samples of five people from the population will have a mean driving distance to work (in miles) that is between the interval's endpoints.
D. With
% confidence, it can be said that most driving distances to work (in miles) in the population are between the interval's endpoints.
Transcribed Image Text:In a random sample of five people, the mean driving distance to work was 20.7 miles and the standard deviation was 4.4 miles. Assume the population is normally distributed and use the t-distribution to find the margin of error and construct a 99% confidence interval for the population mean u. Interpret the results. Identify the margin of error. 50.7 (Round to one decimal place as needed.) Construct a 99% confidence interval for the population mean. 3071.4 (Round to one decimal place as needed.) Interpret the results. Select the correct choice below and fill in the answer box to complete your choice. (Type an integer or a decimal. Do not round.) O A. With % confidence, it can be said that the population mean driving distance to work (in miles) is between the interval's endpoints. B. It can be said that % of the population has a driving distance to work (in miles) that is between the interval's endpoints. % of all random samples of five people from the population will have a mean driving distance to work (in miles) that is between the interval's endpoints. D. With % confidence, it can be said that most driving distances to work (in miles) in the population are between the interval's endpoints.
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